{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ***Introduction to Radar Using Python and MATLAB***\n",
    "## Andy Harrison - Copyright (C) 2019 Artech House\n",
    "<br/>\n",
    "\n",
    "# Ducting\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Referring to Section 2.7.4, an atmospheric duct is a region in the lower layers of the atmosphere where the vertical gradient of the refractive index is such that the propagating waves are ducted or guided and tend to follow the curvature of the earth, as shown in Figure 2.10.  Ducts provide a mechanism for waves to propagate beyond the line of sight and limit the spread of the wavefront to only the horizontal dimension.  A duct is possible whenever the vertical refractivity gradient, $(dN / dh)$, is less than about $-157$ N/km.\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Begin by getting library path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import lib_path"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set up the duct thickness"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "dts = [10.0, 20.0, 50.0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set up the refractivity gradient using the `linspace` routine from `scipy`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import linspace\n",
    "\n",
    "refractivity_gradient = linspace(-500., -150., 1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the line sytles for plotting the results and using the `matplotlib` routines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "\n",
    "line_style = ['-', '--', '-.', ':', '-', '--', '-.', ':']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the critical angle for ducting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from Libs.wave_propagation import ducting\n",
    "\n",
    "\n",
    "# Set the figure size\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (15, 10)\n",
    "\n",
    "\n",
    "i = 0\n",
    "\n",
    "for dt in dts:\n",
    "\n",
    "    critical_angle = ducting.critical_angle(refractivity_gradient, dt)\n",
    "\n",
    "    i += 1\n",
    "\n",
    "\n",
    "\n",
    "    # Display the results\n",
    "\n",
    "    plt.plot(refractivity_gradient, critical_angle * 1e3, line_style[i-1], label=\"Thickness {} (m)\".format(dt))\n",
    "\n",
    "\n",
    "    \n",
    "    # Set the plot title and labels\n",
    "\n",
    "    plt.title('Ducting over a Spherical Earth', size=14)\n",
    "\n",
    "    plt.xlabel('Refractivity Gradient (N/km)', size=12)\n",
    "\n",
    "    plt.ylabel('Critical Angle (mrad)', size=12)\n",
    "\n",
    "\n",
    "\n",
    "    # Set the tick label size\n",
    "\n",
    "    plt.tick_params(labelsize=12)\n",
    "\n",
    "\n",
    "\n",
    "    # Set the legend\n",
    "\n",
    "    plt.legend(loc='best', prop={'size': 10})\n",
    "\n",
    "\n",
    "\n",
    "    # Turn on the grid\n",
    "\n",
    "    plt.grid(linestyle=':', linewidth=0.5)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
